Question

Find the number to be multiplied by (-6)^-1 so as to get (-8)^-1 as the product

Answer 1

Hope the answer helps....

Answer 2

Answer:

Therefore, the required number is 3/4

Step-by-step explanation:

Let x be the number multiplied by (-6)^-1 to get the product (-8)^-1.

Therefore, we can write the below equation

$(-6)^{-1}\times x=(-8)^{-1}$

Divide both sides by (-6)^-1 , we get

$x=\frac{(-8)^{-1}}{(-6)^{-1}}$

Now, we can write the the right hand side of the equation as a single division

$x=(\frac{-8}{-6})^{-1}$

$x=(\frac{4}{3})^{-1}$

Now, using the rule, $(\frac{x}{y})^{-1}=\frac{y}{x}$

$x=\frac{3}{4}$

Therefore, the required number is 3/4